Solve a*x+b=0

$$a \cdot x + b = 0$$

Solve for a (complex solution)

$$\left\{\begin{matrix}a=-\frac{b}{x}\text{, }&x\neq 0\\a\in \mathrm{C}\text{, }&b=0\text{ and }x=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Subtract b from both sides. Anything subtracted from zero gives its negation.

$$ax=-b$$

The equation is in standard form.

$$xa=-b$$

Divide both sides by x.

$$\frac{xa}{x}=-\frac{b}{x}$$

Dividing by x undoes the multiplication by x.

$$a=-\frac{b}{x}$$

Solve for a

$$\left\{\begin{matrix}a=-\frac{b}{x}\text{, }&x\neq 0\\a\in \mathrm{R}\text{, }&b=0\text{ and }x=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Subtract b from both sides. Anything subtracted from zero gives its negation.

$$ax=-b$$

The equation is in standard form.

$$xa=-b$$

Divide both sides by x.

$$\frac{xa}{x}=-\frac{b}{x}$$

Dividing by x undoes the multiplication by x.

$$a=-\frac{b}{x}$$

Solve for b

$$b=-ax$$

Solution Steps

Subtract ax from both sides. Anything subtracted from zero gives its negation.

$$b=-ax$$